Since the WCCC was proposed, it becomes one of the important conjectures in classical general relativity and still lacks general proof till now. In 1974, Wald first proposed a gedanken experiment[1]} to test the validity of WCCC. They assumed a test particle absorbed by an extremal Kerr-Newman black hole and showed that the black hole cannot be over-spun or over-charged through this process under first-order approximation. After that, through dropping the test particle, Hubeny[2]} considered the second-order approximation and found some possibilities of destruction. Then, violations of this type are found in many followup works[3]}, [4]}, [5]}, [6]}, [7]}. However, Hubeny's method neglected some second-order effects such as the self-force and self-energy effects. In 2017, Sorce and Wald[8]} proposed a new version of the gedanken experiments. In this version, they considered a fully dynamic process of some matter field falling into a nearly extremal Kerr black hole. By assuming the matter fields satisfy the null energy condition, they used the Noether charge method[9]} to derive the first- and second-order perturbation inequalities
\(\begin{aligned}&\delta M-\Omega _H\delta J-\Phi _H\delta Q\ge 0\,,\\&\delta ^2 M-\Omega _H\delta ^2 J-\Phi _H\delta ^2 Q\ge -\frac{\kappa }{8\pi } \delta ^2 A^\text{KN}_B\end{aligned}\) 
